Question

a cylindrical metallic pipe is 20 long the difference between the total surface area and inner surface area is 1232 find radius​

Answer 1

Given is the height and difference between its TSA and CSA, find the radius of the cylinder.

Explanation:

• Let there be a cylinder of radius 'r' and height 'h'.
• Then the Total surface area of this cylinder is given by, $TSA=2\pi r(r+h)$
• The curved surface area of this cylinder is given by, $CSA=2\pi rh$
• Here we have, $h=20,\ \ r=?$
• Also , $TSA-CSA=1232$
• hence, we get
•                         $2\pi r(r+h)-2\pi rh=1232\\->2\pi r^2=1232\\->r^2=\frac{1232(7)}{2(22)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (->\pi=\frac{22}{7} )\\->r^2=196\\->r=14$    
• Hence, the radius of the given cylindrical metallic pipe is $196$ units.